# How do you find the distance of EF, if E(-1, 1) and F(0, -5)?

Jan 11, 2017

See the process for using the distance formula below:

#### Explanation:

The formula for calculating the distance between two points is:

$d = \sqrt{{\left(\textcolor{red}{{x}_{2}} - \textcolor{b l u e}{{x}_{1}}\right)}^{2} + {\left(\textcolor{red}{{y}_{2}} - \textcolor{b l u e}{{y}_{1}}\right)}^{2}}$

Substituting the points from the problem gives:

$d = \sqrt{{\left(\textcolor{red}{0} - \textcolor{b l u e}{- 1}\right)}^{2} + {\left(\textcolor{red}{- 5} - \textcolor{b l u e}{1}\right)}^{2}}$

We can now calculate the difference:

$d = \sqrt{{\left(1\right)}^{2} + {\left(- 6\right)}^{2}}$

$d = \sqrt{1 + 36}$

$d = \sqrt{37}$

$d = 6.08$ rounded to the nearest hundredth.